#4459 ⟨a, b | aaaabbaa=baa⟩

Up:Monoids with two generators and one relation
Prev:#4458 ⟨a, b | aaaabbaa=abb⟩
Next:#4460 ⟨a, b | aaaabbaa=bab⟩

Quick links

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. bc ⇒ c2 [5]
2. ba2 ⇒ ca2 [3]
3. bac ⇒ cac [6]
4. a4b2 ⇒ c [2]
5. a4c3 ⇒ c2 [7]
6. a4c2a2 ⇒ ca2 [9]
7. a4c2ac ⇒ cac [8]
# ab:aaaabbaa=baa acb aaaabb=c morph:6/0
bc=cc
baa=caa
bac=cac
aaaabb=c
aaaaccc=cc
aaaaccaa=caa
aaaaccac=cac